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Title: Local characterization of one-dimensional topologically ordered states
Authors: Cui, J.
Amico, L.
Fan, H.
Gu, M.
Hamma, A.
Vedral, V. 
Issue Date: 11-Sep-2013
Citation: Cui, J., Amico, L., Fan, H., Gu, M., Hamma, A., Vedral, V. (2013-09-11). Local characterization of one-dimensional topologically ordered states. Physical Review B - Condensed Matter and Materials Physics 88 (12) : -. ScholarBank@NUS Repository.
Abstract: We consider one-dimensional Hamiltonian systems whose ground states display symmetry-protected topological order. We show that ground states within the topological phase cannot be connected with each other through local operations and classical communication between a bipartition of the system. Our claim is demonstrated by analyzing the entanglement spectrum and Rényi entropies of different physical systems that provide examples for symmetry-protected topological phases. Specifically, we consider the spin-1/2 cluster-Ising model and a class of spin-1 models undergoing quantum phase transitions to the Haldane phase. Our results provide a probe for symmetry-protected topological order. Since the picture holds even at the system's local scale, our analysis can serve as a local experimental test for topological order. © 2013 American Physical Society.
Source Title: Physical Review B - Condensed Matter and Materials Physics
ISSN: 10980121
DOI: 10.1103/PhysRevB.88.125117
Appears in Collections:Staff Publications

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